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3 years ago

A real number between 13 squared and 14 squared

Mathematics

1 answer:

yuradex [85]3 years ago

6 0

If we find the square root of 13 ans 14 we get

sqrt(13) = 3.60555 
sqrt(14) = 3.74166

All Real numbers can be rational number and irrational number.

We can write 3.7 as 37/10, which is the easy rational number and an irrational number within the range is sqrt (27/2)

Real number system is used in mathematics and statistics.

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3 years ago

Convert 96 ounces to pounds. 4 lb. 5 lb. 6 lb. 10 lb.

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3 years ago

What is the sum of the diagonals in a rectangle whose area is 25v3 and whose width is 5?

Nastasia [14]

Answer:

Sum of diagonals = 20 units

Step-by-step explanation:

$A(rectangle)=25\sqrt 3\: units^2\\w(rectangle) =5\: units$

To find: Sum of diagonals

$A(rectangle)=l(rectangle)\times w(rectangle)$

$\implies l(rectangle)=\frac{A(rectangle)}{w(rectangle)}$

$\implies l(rectangle)=\frac{25\sqrt 3}{5}$

$\implies l(rectangle)={5\sqrt 3}\: units$

Let the diagonals of the rectangle be $d_1\:\&\:d_2\: units$

Diagonals of a rectangle are equal in measure.

$\implies d_1=d_2=\sqrt{l(rectangle)^2+w(rectangle)^2}$

(By Pythagoras Theorem)

$\implies d_1=d_2=\sqrt{(5\sqrt 3)^2+(5)^2}$

$\implies d_1=d_2=\sqrt{75+25}$

$\implies d_1=d_2=\sqrt{100}$

$\implies d_1=d_2=10\: units$

$Sum \:of \:diagonals = d_1+d_2$

$\implies Sum \:of \:diagonals = 10+10$

$\implies Sum \:of \:diagonals = 20\: units$

4 0

3 years ago

In a parallelogram WXYZ , W and X are adjacent interior angles the measure of X is three times the measure of W which equation g

Andrew [12]

Answer:

The required equation is $\angle W+3\angle W=180^{\circ}$ .

Step-by-step explanation:

Given information: WXYZ is a parallelogram, W and X are adjacent interior angles and measure of X is three times the measure of W.

According to the properties of parallelogram, the two adjacent interior angle are supplementary angle and their sum is 180 degrees.

$\angle W+\angle X=180^{\circ}$ .... (1)

It is also given that the measure of X is three times the measure of W.

$\angle X=3\angle W$

Substitute this value in equation 1.

$\angle W+3\angle W=180^{\circ}$

$4\angle W=180^{\circ}$

$\angle W=45^{\circ}$

Substitute this value in equation 1.

$\angle W=135^{\circ}$

Therefore the required equation is $\angle W+3\angle W=180^{\circ}$ .

3 0

3 years ago